When a fan is turned off, its angular speed decreases from $10$ rad$/$s to $6\mathrm{.}3$ rad$/$s in $5\mathrm{.}0$ s$.$ What is the magnitude of the angular acceleration of the fan?

Question $6$ options:

$0\mathrm{.}37$ rad$/$s$2$

A child is riding a merry$-$go$-$round that is turning at $7\mathrm{.}18$ rpm$.$ If the child is standing $4\mathrm{.}65$ m from the center of the merry$-$go$-$round, how fast is the child moving?

Question $7$ options:

$1\mathrm{.}80$ m$/$s

$3\mathrm{.}50$ m$/$s

$5\mathrm{.}64$ m$/$s

$1\mathrm{.}75$ m$/$s

$0\mathrm{.}556$ m$/$s